Claire is the mother Carmy has always wanted.
Claire is seen this season caring for young boys. She takes care of and successfully distracts a young boy to take a shot and putting a bone back in its place.
The scene where she fixes a bone - seems familiar? It's connected to the story in 2x02, Pasta, where Claire describes wanting to understand a young girl's injuries from a broken arm. She never said she was interested in fixing it, rather she wanted to understand it. Carmy's question about whether she wanted to fix it was projecting, hoping she could heal his childhood wounds.
If only Donna were as gentle and happy as Claire, who imagines fixing kids' injuries, maybe he'd be different. Maybe he could enjoy life more and be happier if he were taken care of.
From the beginning, Claire disarms carmy when he sees her smile. Something Donna barely did.
And she's known as Disarming Carmy in a few articles. I think the song "Disarm" from season 3 relates to Claire in the sense that her own happy disposition disarmed Carmy's wounded inner child, and it's what he hopes Donna could be.
"Disarm" by Smashing Pumpkins as played on 3x10 Forever
It's carmy hoping Claire heals his inner child the whole time. It's a song that has to do with our inner children wounded and attempting to find healing.
The relationship was never going to work because Carmy is stuck in the hope that he could have had a different childhood and that he could fix it in the present.
What solidifies this is Fak sharing stories of Carmy never being happy because of Donna and losing his childhood. Fake hopes in some way Claire could heal Carmy.
Claire, after giving it some thought or at least considering it, closes the book and informs the Faks that it's finished. There's a part of Claire that also wants to help heal Carmy's inner child wounds, but ultimately, he has to fix himself.
No woman could be his mother or babysitter.
Makes these two scenes all the more significant:
Take note of the two scenes where Chef Terry and Sydney are wearing scarves with lines. Even though Sydney calms Carmy, she firmly tells Carmy that she's not there to fix whatever inner damage he has. She is a peaceful figure in his life, but she's not the babysitter and calming influence Chef Terry was for Carmy. Sydney has her own problems and journey that Carmy has to understand and assist with as the series progresses.
There is something about the influence of women in Carmy's life and the connections he must make to grow. However, there's a line between using these women as a stepping stone towards growth and using these women as his source of inspiration. He has to heal his inner child to become the man he wants to be without relying on the women to babysit or care for him unequally.
"You gotta figure that parent shit out first"